Pith Number

pith:IZBLFYGM

pith:2013:IZBLFYGMC2KM3N37NH37AXXEPQ

not attested not anchored not stored refs pending

A maximum principle for systems with variational structure and an application to standing waves

Giorgio Fusco, Nicholas D. Alikakos

arxiv:1311.1022 v1 · 2013-11-05 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZBLFYGMC2KM3N37NH37AXXEPQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:07:55.740915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4642b2e0cc1694cdb77f69f7f05ee47c2ef196f5d62e41ef454391c1caaf4dea

Aliases

arxiv: 1311.1022 · arxiv_version: 1311.1022v1 · doi: 10.48550/arxiv.1311.1022 · pith_short_12: IZBLFYGMC2KM · pith_short_16: IZBLFYGMC2KM3N37 · pith_short_8: IZBLFYGM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZBLFYGMC2KM3N37NH37AXXEPQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4642b2e0cc1694cdb77f69f7f05ee47c2ef196f5d62e41ef454391c1caaf4dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3041404dbb06677718ec3ba96ee54df587014fb1baff788fa2fd09891241e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-05T12:04:58Z",
    "title_canon_sha256": "8d351b9723f5eb3b229681e78b233084e4c70bca7c00b99d3353135e40f55d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1022",
    "kind": "arxiv",
    "version": 1
  }
}